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Simplifying 21 + -5n = -1(3n + -7) Reorder the terms: 21 + -5n = -1(-7 + 3n) 21 + -5n = (-7 * -1 + 3n * -1) 21 + -5n = (7 + -3n) Solving 21 + -5n = 7 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 21 + -5n + 3n = 7 + -3n + 3n Combine like terms: -5n + 3n = -2n 21 + -2n = 7 + -3n + 3n Combine like terms: -3n + 3n = 0 21 + -2n = 7 + 0 21 + -2n = 7 Add '-21' to each side of the equation. 21 + -21 + -2n = 7 + -21 Combine like terms: 21 + -21 = 0 0 + -2n = 7 + -21 -2n = 7 + -21 Combine like terms: 7 + -21 = -14 -2n = -14 Divide each side by '-2'. n = 7 Simplifying n = 7
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